Suppose the roots of the quadratic function \(T(k)\) are
  • \(5 - \sqrt {3}\)
  • \(5 + \sqrt {3}\)

In factored form, \(T\) would look lke (lesser root in the left factor)

\[ A \left ( k - \answer {5 - \sqrt {3}} \right ) \left ( k - \answer {5 + \sqrt {3}} \right ) \]

From left to right on the graph, the corresponding intercepts are

\[ \left ( \answer {5 - \sqrt {3}}, \answer {0} \right ) \, \text { and } \, \left ( \answer {5 + \sqrt {3}}, \answer {0} \right ) \]

If we further know that \(T(0) = 88\), then \(A = \answer {4}\)?

2025-01-07 02:39:07